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FUNDAMENTAL CONSTRUCTIONS

If two lines which intersect each other and are in the same plane are cut by parallel lines, segments determined in one line are proportional to the segments determined in the other line.
We use the Thales’ theorem to divide segments into equal or proportional parts.

There is considerable agreement that Thales was born in Miletus in Greek Ionia in the mid 620s BCE and died in about 546 BCE, but even those dates are indefinite. Greek philosopher who is considered the founder of Greek science, mathematics, and philosophy. He visited Egypt and probably Babylon, bringing back knowledge of astronomy and geometry. He invented deductive mathematics. To him is attributed Thales’ theorem. It is also attributed to Thales the prediction of a Solar Eclipse and more theorems.